Answer:
let the other number be x
x+2=65
x=65-2
x=63
I hope it helps you
C - 0.17c = 0.83c
When you write “c” at the start, or x or whatever, it has an understood (invisible) number 1. So you’re subtracting the decimal on the next variable from 1.
Answer:
x = (c+a)/2
y = (c-a)/2
Step-by-step explanation:
Add the two equations and you get ...
(x +y) +(x -y) = (c) +(a)
2x = c+a
x = (c+a)/2
--
Subtract the second equation from the first and you get ...
(x +y) -(x -y) = (c) -(a)
2y = c-a
y = (c-a)/2
_____
Comment on this problem
This is what I call a "sum and difference" problem. The solution shown here is (obviously) the generic solution to such a problem. Remembering this can get you quickly to the answer any time you're given the sum of two unknowns and their difference.
Answer:
Step-by-step explanation:
Direct variation can be modeled by y = kx where k is the constant of variation!
So to solve for k all we need to do is substitute in the value for y and x that are given.
So according to the problem y = 24 when x = 6
24 = 6k
Divide both sides by 6
k = 4
So the constant of variation is 4
The direct variation equation would then be
y = 4x
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:

So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:

Next, plug either one of the points into the x and y coordinates to solve for b as such:

<u>Our final equation is
, or the third option.</u>